LONDON (Reuters) - The scale of the opposition Labour Party's problems in Scotland was laid bare on Wednesday after an opinion poll showed it risks losing 35 of its 41 seats there to nationalists, a serious setback to its hopes of unseating David Cameron's Conservatives.

The poll, funded by Michael Ashcroft, a British peer and former deputy chairman of Cameron's party, took a detailed look at 14 of Labour's Scottish seats in the British parliament and found it was on course to lose all but one of them at a May 7 UK-wide election.